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Simplifying -118 = 5(8x + 2) + -8x Reorder the terms: -118 = 5(2 + 8x) + -8x -118 = (2 * 5 + 8x * 5) + -8x -118 = (10 + 40x) + -8x Combine like terms: 40x + -8x = 32x -118 = 10 + 32x Solving -118 = 10 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -118 + -32x = 10 + 32x + -32x Combine like terms: 32x + -32x = 0 -118 + -32x = 10 + 0 -118 + -32x = 10 Add '118' to each side of the equation. -118 + 118 + -32x = 10 + 118 Combine like terms: -118 + 118 = 0 0 + -32x = 10 + 118 -32x = 10 + 118 Combine like terms: 10 + 118 = 128 -32x = 128 Divide each side by '-32'. x = -4 Simplifying x = -4
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